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General Information
    • ISSN: 2010-3697
    • Frequency: Bimonthly
    • DOI: 10.7763/IJMO
    • Editor-in-Chief: Prof. Adrian Olaru
    • Executive Editor: Ms.Yoyo Y. Zhou
    • Abstracting/ Indexing: Engineering & Technology Digital Library, ProQuest, Crossref, Electronic Journals Library, DOAJ, Google Scholar, EI (INSPEC, IET).
    • E-mail ijmo@iacsitp.com
Editor-in-chief
Prof. Adrian Olaru
University Politehnica of Bucharest, Romania
I'm happy to take on the position of editor in chief of IJMO. It's a journal that shows promise of becoming a recognized journal in the area of modelling and optimization. I'll work together with the editors to help it progress.
IJMO 2014Vol.4(4): 315-320 ISSN: 2010-3697
DOI: 10.7763/IJMO.2014.V4.392

Exact Solutions of Time-Fractional KdV Equations by Using Generalized Kudryashov Method

Hasan Bulut, Yusuf Pandir, and Seyma Tuluce Demiray
Abstract—In this paper, we investigate exact solutions of time-fractional KdV equations by using generalized Kudryashov method (GKM). The time-fractional KdV equations can be reduced to nonlinear ordinary differential equation by transformation. Subsequently, GKM has been performed to obtain exact solutions of time-fractional KdV equations and we attain some new solutions such as soliton solutions and hyperbolic function solutions. Furthermore, we note that this method is a generalized form of classical Kudryashov Method.

Index Terms—Time-fractional KdV equations, generalized kudryashov method, soliton solutions, hyperbolic function solutions.

Hasan Bulut is with Mathematics Dept., Firat University, Elazig, 23119, Turkey (e-mail: hbulut@firat.edu.tr).
Yusuf Pandir is with Mathematics Dept., Bozok University, Yozgat, 66100, Turkey (e-mail: yusufpandir@gmail.com). Seyma Tuluce Demiray is with Mathematics Dept., Firat University, Elazig, 23119, Turkey (e-mail: seymatuluce@gmail.com).

[PDF]

Cite: Hasan Bulut, Yusuf Pandir, and Seyma Tuluce Demiray, "Exact Solutions of Time-Fractional KdV Equations by Using Generalized Kudryashov Method," International Journal of Modeling and Optimization vol. 4, no. 4, pp. 315-320, 2014.

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